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PreconditionedIterativeLinearSolver (Commons Math 3.2 API)
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org.apache.commons.math3.linear</FONT>
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Class PreconditionedIterativeLinearSolver</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">org.apache.commons.math3.linear.IterativeLinearSolver</A>
      <IMG SRC="../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.linear.PreconditionedIterativeLinearSolver</B>
</PRE>
<DL>
<DT><B>Direct Known Subclasses:</B> <DD><A HREF="../../../../../org/apache/commons/math3/linear/ConjugateGradient.html" title="class in org.apache.commons.math3.linear">ConjugateGradient</A>, <A HREF="../../../../../org/apache/commons/math3/linear/SymmLQ.html" title="class in org.apache.commons.math3.linear">SymmLQ</A></DD>
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<DT><PRE>public abstract class <B>PreconditionedIterativeLinearSolver</B><DT>extends <A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</A></DL>
</PRE>

<P>
<p>
 This abstract class defines preconditioned iterative solvers. When A is
 ill-conditioned, instead of solving system A &middot; x = b directly, it is
 preferable to solve either
 <center>
 (M &middot; A) &middot; x = M &middot; b
 </center>
 (left preconditioning), or
 <center>
 (A &middot; M) &middot; y = b, &nbsp;&nbsp;&nbsp;&nbsp;followed by
 M &middot; y = x
 </center>
 (right preconditioning), where M approximates in some way A<sup>-1</sup>,
 while matrix-vector products of the type M &middot; y remain comparatively
 easy to compute. In this library, M (not M<sup>-1</sup>!) is called the
 <em>preconditionner</em>.
 </p>
 <p>
 Concrete implementations of this abstract class must be provided with the
 preconditioner M, as a <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear"><CODE>RealLinearOperator</CODE></A>.
 </p>
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>3.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: PreconditionedIterativeLinearSolver.java 1416643 2012-12-03 19:37:14Z tn $</DD>
</DL>
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<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#PreconditionedIterativeLinearSolver(int)">PreconditionedIterativeLinearSolver</A></B>(int&nbsp;maxIterations)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Creates a new instance of this class, with default iteration manager.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#PreconditionedIterativeLinearSolver(org.apache.commons.math3.util.IterationManager)">PreconditionedIterativeLinearSolver</A></B>(<A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util">IterationManager</A>&nbsp;manager)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Creates a new instance of this class, with custom iteration manager.</TD>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected static&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#checkParameters(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">checkParameters</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
                <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Performs all dimension checks on the parameters of
 <A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><CODE>solve</CODE></A>
 and
 <A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><CODE>solveInPlace</CODE></A>,
 and throws an exception if one of the checks fails.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector)">solve</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solve</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector)">solve</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solve</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>abstract &nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solveInPlace</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
             <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
             <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
             <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solveInPlace</A></B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
             <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
             <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns an estimate of the solution to the linear system A &middot; x =
 b.</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_org.apache.commons.math3.linear.IterativeLinearSolver"><!-- --></A>
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<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.linear.<A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html#checkParameters(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">checkParameters</A>, <A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html#getIterationManager()">getIterationManager</A></CODE></TD>
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<A NAME="PreconditionedIterativeLinearSolver(int)"><!-- --></A><H3>
PreconditionedIterativeLinearSolver</H3>
<PRE>
public <B>PreconditionedIterativeLinearSolver</B>(int&nbsp;maxIterations)</PRE>
<DL>
<DD>Creates a new instance of this class, with default iteration manager.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>maxIterations</CODE> - the maximum number of iterations</DL>
</DL>
<HR>

<A NAME="PreconditionedIterativeLinearSolver(org.apache.commons.math3.util.IterationManager)"><!-- --></A><H3>
PreconditionedIterativeLinearSolver</H3>
<PRE>
public <B>PreconditionedIterativeLinearSolver</B>(<A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util">IterationManager</A>&nbsp;manager)
                                    throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></PRE>
<DL>
<DD>Creates a new instance of this class, with custom iteration manager.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>manager</CODE> - the custom iteration manager
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if <code>manager</code> is <code>null</code></DL>
</DL>

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<A NAME="solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solve</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solve</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)
                 throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>m</CODE> - the preconditioner, M (can be <code>null</code>)<DD><CODE>b</CODE> - the right-hand side vector<DD><CODE>x0</CODE> - the initial guess of the solution
<DT><B>Returns:</B><DD>a new vector containing the solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> or <code>m</code> is not
 square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>m</code>, <code>b</code> or
 <code>x0</code> have dimensions inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solve</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solve</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b)
                 throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b.
<P>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector)">solve</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>b</CODE> - the right-hand side vector
<DT><B>Returns:</B><DD>a new vector containing the solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> is not square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>b</code> has dimensions
 inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solve</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solve</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)
                 throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b.
<P>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solve</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>b</CODE> - the right-hand side vector<DD><CODE>x0</CODE> - the initial guess of the solution
<DT><B>Returns:</B><DD>a new vector containing the solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> is not square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>b</code> or <code>x0</code> have
 dimensions inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="checkParameters(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
checkParameters</H3>
<PRE>
protected static void <B>checkParameters</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                                      <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
                                      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                                      <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)
                               throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                      <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                                      <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></PRE>
<DL>
<DD>Performs all dimension checks on the parameters of
 <A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><CODE>solve</CODE></A>
 and
 <A HREF="../../../../../org/apache/commons/math3/linear/PreconditionedIterativeLinearSolver.html#solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><CODE>solveInPlace</CODE></A>,
 and throws an exception if one of the checks fails.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>m</CODE> - the preconditioner, M (can be <code>null</code>)<DD><CODE>b</CODE> - the right-hand side vector<DD><CODE>x0</CODE> - the initial guess of the solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> or <code>m</code> is not
 square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>m</code>, <code>b</code> or
 <code>x0</code> have dimensions inconsistent with <code>a</code></DL>
</DD>
</DL>
<HR>

<A NAME="solve(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solve</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solve</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b)
                 throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                        <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>m</CODE> - the preconditioner, M (can be <code>null</code>)<DD><CODE>b</CODE> - the right-hand side vector
<DT><B>Returns:</B><DD>a new vector containing the solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> or <code>m</code> is not
 square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>m</code> or <code>b</code> have
 dimensions inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solveInPlace</H3>
<PRE>
public abstract <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solveInPlace</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                                        <A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;m,
                                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                                        <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)
                                 throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                                        <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                                        <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                                        <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b. The solution is computed in-place (initial guess is modified).
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>m</CODE> - the preconditioner, M (can be <code>null</code>)<DD><CODE>b</CODE> - the right-hand side vector<DD><CODE>x0</CODE> - the initial guess of the solution
<DT><B>Returns:</B><DD>a reference to <code>x0</code> (shallow copy) updated with the
 solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> or <code>m</code> is not
 square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>m</code>, <code>b</code> or
 <code>x0</code> have dimensions inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
<HR>

<A NAME="solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)"><!-- --></A><H3>
solveInPlace</H3>
<PRE>
public <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A> <B>solveInPlace</B>(<A HREF="../../../../../org/apache/commons/math3/linear/RealLinearOperator.html" title="class in org.apache.commons.math3.linear">RealLinearOperator</A>&nbsp;a,
                               <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;b,
                               <A HREF="../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</A>&nbsp;x0)
                        throws <A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A>,
                               <A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A>,
                               <A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A>,
                               <A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></PRE>
<DL>
<DD>Returns an estimate of the solution to the linear system A &middot; x =
 b. The solution is computed in-place (initial guess is modified).
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html#solveInPlace(org.apache.commons.math3.linear.RealLinearOperator, org.apache.commons.math3.linear.RealVector, org.apache.commons.math3.linear.RealVector)">solveInPlace</A></CODE> in class <CODE><A HREF="../../../../../org/apache/commons/math3/linear/IterativeLinearSolver.html" title="class in org.apache.commons.math3.linear">IterativeLinearSolver</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>a</CODE> - the linear operator A of the system<DD><CODE>b</CODE> - the right-hand side vector<DD><CODE>x0</CODE> - initial guess of the solution
<DT><B>Returns:</B><DD>a reference to <code>x0</code> (shallow copy) updated with the
 solution
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</A></CODE> - if one of the parameters is <code>null</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/linear/NonSquareOperatorException.html" title="class in org.apache.commons.math3.linear">NonSquareOperatorException</A></CODE> - if <code>a</code> is not square
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if <code>b</code> or <code>x0</code> have
 dimensions inconsistent with <code>a</code>
<DD><CODE><A HREF="../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</A></CODE> - at exhaustion of the iteration count,
 unless a custom
 <A HREF="../../../../../org/apache/commons/math3/util/Incrementor.MaxCountExceededCallback.html" title="interface in org.apache.commons.math3.util"><CODE>callback</CODE></A>
 has been set at construction of the <A HREF="../../../../../org/apache/commons/math3/util/IterationManager.html" title="class in org.apache.commons.math3.util"><CODE>IterationManager</CODE></A></DL>
</DD>
</DL>
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